A-Optimal and MV-Optimal Incomplete Block Designs for Comparing Successive Treatments |
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| Authors: | John Spurrier |
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| Institution: | 1. Department of Statistics , University of South Carolina , Columbia, South Carolina, USA spurrier@stat.sc.edu |
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| Abstract: | Consider an incomplete block experiment in which observations are taken from t treatments using an incomplete block design with b blocks of size k < t. Suppose the interest is in estimating the differences of effects of successive treatments. This may occur, for example, if the treatments are different dosages or concentrations of a compound. This article presents A-optimal and MV-optimal incomplete block designs for estimating the the differences of successive treatment effects. Tables of optimal designs are given for k < t ≤ 5 with b ≤ 40. |
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| Keywords: | Best linear unbiased estimator Comparison with a control Successive comparison |
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